Haupttitel:
A local projection stabilization finite element method with nonlinear
crosswind diffusion for convection-diffusion-reaction equations
Autor*in:
Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr
Datum der Freigabe:
2015-09-17T11:43:58.221Z
Abstract:
An extension of the local projection stabilization (LPS) finite element method
for convection-diffusion-reaction equations is presented and analyzed, both in
the steady-state and the transient setting. In addition to the standard LPS
method, a nonlinear crosswind diffusion term is introduced that accounts for
the reduction of spurious oscillations. The existence of a solution can be
proved and, depending on the choice of the stabilization parameter, also its
uniqueness. Error estimates are derived which are supported by numerical
studies. These studies demonstrate also the reduction of the spurious
oscillations.
Freie Schlagwörter:
Finite element method
local projection stabilization
crosswind diffusion
convection-diffusion-reaction equation
well posedness
time dependent problem
stability
error estimates
Publikationstyp:
Wissenschaftlicher Artikel
Auch erschienen in:
Mathematical Modelling and Numerical Analysis. - 47 (2013), 5, S. 1335-1366
Fachbereich/Einrichtung:
Mathematik und Informatik